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DIA [1.3K]
3 years ago
11

Simplify the difference.

Mathematics
1 answer:
mr_godi [17]3 years ago
3 0

\displaystyle\frac{n^2-10n+24}{n^2-13n+42}-\frac{9}{n-7}=\frac{(n-6)(n-4)}{(n-6)(n-7)}-\frac{9}{n-7}\\\\=\frac{n-4}{n-7}-\frac{9}{n-7}=\frac{n-4-9}{n-7}\\\\=\frac{n-13}{n-7}

The last choice is appropriate.

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